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Find the smallest number by which 85176 must be divided so that it becomes a perfect square
Given: A number $85176$.
To do: To find the smallest number by which 85176 must be divided so that it becomes a perfect square.
Solution:
Given Number$=8517$
$=\underline{2\times2}\times2\times\underline{3\times3}\times7\times\underline{13\times13}$
Here, all are perfect square, except $2$ and $7$.
Thus, the given number$( 8517)$ should be divided by $( 2\times7=14)$.
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